Efficiency of Energy Radiation from an Unflanged Cylindrical Duct in Case of Multimode Excitation
Abstract:The aim of this paper consists in presentation of spatial distribution of energy radiated from the outlet of a cylindrical duct in case of multimodal excitation. As the mathematical model, the semi-infinite unflanged hard duct was applied, so the results account for the diffraction phenomena occurring at the duct opening. They are based on solution of the wave equation with Neumann boundary conditions obtained by means of the Wiener–Hopf method. The multimode excitation was considered assuming the incident wave composed of all propagating modes representing solutions of the wave equation at a given diffraction parameter (Helmholtz number) and equal energy per mode (EEpM) allowing to derive mode amplitudes. The paper presents mathematical formulae and numerical results for the power radiated outside, the power reflection coefficients and the power-gain function for different values of the diffraction parameter ka. The presented results can be applied for modeling of passive and/or active noise reducing systems
Document Type: Research Article
Publication date: 2010-05-01
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- Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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